Coherent magnon optics in a ferromagnetic spinor Bose-Einstein condensate

Abstract

We measure the mass, gap, and magnetic moment of a magnon in the ferromagnetic $F=1$ spinor Bose-Einstein condensate of ${}^{87}$Rb. We find an unusually heavy magnon mass of $1.038(2{)}_{\mathrm{stat}}(8{)}_{\mathrm{sys}}$ times the atomic mass, as determined by interfering standing and running coherent magnon waves within the dense and trapped condensed gas. This measurement is shifted significantly from theoretical estimates. The magnon energy gap of $h\times 2.5(1{)}_{\mathrm{stat}}(2{)}_{\mathrm{sys}}\mathrm{Hz}$ and the effective magnetic moment of $-1.04(2{)}_{\mathrm{stat}}(8){\mu }_{\text{bare}}$ times the atomic magnetic moment are consistent with mean-field predictions. The nonzero energy gap arises from magnetic dipole-dipole interactions.

5 pages, 3 figures

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• Measurement and extinction of vector light shifts using interferometry of spinor condensates
• Quantum phase transitions in networks of Lipkin-Meshkov-Glick models
• Preserving coherent spin and squeezed spin states of a spin-1 Bose-Einstein condensate with rotary echoes
• Quantum Mass Acquisition in Spinor Bose-Einstein Condensates
• Fluctuations of spinor Bose-Einstein condensates
• Upper bound of one-magnon excitation and lower bound of effective mass for ferromagnetic spinor Bose and Fermi gases
• Metastable spin textures and Nambu-Goldstone modes of a ferromagnetic spin-1 Bose-Einstein condensate confined in a ring trap
• Energy shift of magnons in a ferromagnetic spinor-dipolar Bose-Einstein condensate
• Spinor Bose gas in an elongated trap